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Finding the Fourth Proportional to 254.20, 350.94 and 198.82

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Solution

The fourth proportional to 254.20, 350.94 and 198.82 is: 274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.20 : 350.94 = 198.82 : x
  2. Step 2: Convert to fraction form
    254.20/350.94 = 198.82/x
  3. Step 3: Cross multiply
    254.20x = 350.94 × 198.82
  4. Step 4: Simplify right side
    254.20x = 69,773.89
  5. Step 5: Solve for x
    x = 69,773.89/254.20
  6. Step 6: Final answer
    x = 274.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.